142624272 has 80 divisors (see below), whose sum is σ = 429079680. Its totient is φ = 39975936.

The previous prime is 142624247. The next prime is 142624301. The reversal of 142624272 is 272426241.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13804 + ... + 21812.

It is an arithmetic number, because the mean of its divisors is an integer number (5363496).

Almost surely, 2^142624272 is an apocalyptic number.

142624272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142624272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214539840).

142624272 is an abundant number, since it is smaller than the sum of its proper divisors (286455408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

142624272 is a wasteful number, since it uses less digits than its factorization.

142624272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8080 (or 8074 counting only the distinct ones).

The product of its digits is 10752, while the sum is 30.

The square root of 142624272 is about 11942.5404332579. The cubic root of 142624272 is about 522.4737555402.

The spelling of 142624272 in words is "one hundred forty-two million, six hundred twenty-four thousand, two hundred seventy-two".